Search a number
-
+
4828796928 = 21132534943
BaseRepresentation
bin1000111111101000…
…11001100000000000
3110110112020022002200
410133310121200000
534342133000203
62115053513200
7230443045104
oct43764314000
913415208080
104828796928
11205880366a
12b291a2800
135bc547ab7
1433b457904
151d3dd99a3
hex11fd19800

4828796928 has 144 divisors (see below), whose sum is σ = 14212467360. Its totient is φ = 1578909696.

The previous prime is 4828796927. The next prime is 4828796983. The reversal of 4828796928 is 8296978284.

4828796928 is a `hidden beast` number, since 482 + 8 + 79 + 69 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4828796927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 974425 + ... + 979367.

It is an arithmetic number, because the mean of its divisors is an integer number (98697690).

Almost surely, 24828796928 is an apocalyptic number.

4828796928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4828796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106233680).

4828796928 is an abundant number, since it is smaller than the sum of its proper divisors (9383670432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4828796928 is a wasteful number, since it uses less digits than its factorization.

4828796928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5001 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 4828796928 is about 69489.5454582918. The cubic root of 4828796928 is about 1690.2319777730.

The spelling of 4828796928 in words is "four billion, eight hundred twenty-eight million, seven hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1024 1152 1272 1536 1696 1908 2048 2304 2544 3072 3392 3816 4608 4943 5088 6144 6784 7632 9216 9886 10176 13568 14829 15264 18432 19772 20352 27136 29658 30528 39544 40704 44487 54272 59316 61056 79088 81408 88974 108544 118632 122112 158176 162816 177948 237264 244224 261979 316352 325632 355896 474528 488448 523958 632704 711792 785937 949056 976896 1047916 1265408 1423584 1571874 1898112 2095832 2357811 2530816 2847168 3143748 3796224 4191664 4715622 5061632 5694336 6287496 7592448 8383328 9431244 10123264 11388672 12574992 15184896 16766656 18862488 22777344 25149984 30369792 33533312 37724976 45554688 50299968 67066624 75449952 91109376 100599936 134133248 150899904 201199872 268266496 301799808 402399744 536532992 603599616 804799488 1207199232 1609598976 2414398464 4828796928